a. Solve IVP for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?b. Solve IVP for a heat equation with convection (4) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?c. Solve IBVP with the Dirichlet boundary condition for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?d. Solve IBVP with the Neumann boundary condition for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?